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Finding the Fourth Proportional to 10,802.02, 14,905.20 and 6,324.07

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Solution

The fourth proportional to 10,802.02, 14,905.20 and 6,324.07 is: 8,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.02 : 14,905.20 = 6,324.07 : x
  2. Step 2: Convert to fraction form
    10,802.02/14,905.20 = 6,324.07/x
  3. Step 3: Cross multiply
    10,802.02x = 14,905.20 × 6,324.07
  4. Step 4: Simplify right side
    10,802.02x = 94,261,528.16
  5. Step 5: Solve for x
    x = 94,261,528.16/10,802.02
  6. Step 6: Final answer
    x = 8,726.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.